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1114400044100 = 225271983789477
BaseRepresentation
bin10000001101110111011…
…010110011010001000100
310221112110110021210122102
4100031313122303101010
5121224242402402400
62211540500251232
7143340605040260
oct20156732632104
93845413253572
101114400044100
1139a683855292
1215bb8a3a0b18
138111a242825
143bd19b570a0
151dec4ca59d5
hex103776b3444

1114400044100 has 72 divisors (see below), whose sum is σ = 2909170676160. Its totient is φ = 361970536320.

The previous prime is 1114400044061. The next prime is 1114400044127. The reversal of 1114400044100 is 14400044111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41881439 + ... + 41908038.

It is an arithmetic number, because the mean of its divisors is an integer number (40405148280).

Almost surely, 21114400044100 is an apocalyptic number.

1114400044100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1114400044100 is an abundant number, since it is smaller than the sum of its proper divisors (1794770632060).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1114400044100 is a wasteful number, since it uses less digits than its factorization.

1114400044100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83789517 (or 83789510 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 1114400044100 its reverse (14400044111), we get a palindrome (1128800088211).

The spelling of 1114400044100 in words is "one trillion, one hundred fourteen billion, four hundred million, forty-four thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 19 20 25 28 35 38 50 70 76 95 100 133 140 175 190 266 350 380 475 532 665 700 950 1330 1900 2660 3325 6650 13300 83789477 167578954 335157908 418947385 586526339 837894770 1173052678 1592000063 1675789540 2094736925 2346105356 2932631695 3184000126 4189473850 5865263390 6368000252 7960000315 8378947700 11144000441 11730526780 14663158475 15920000630 22288000882 29326316950 31840001260 39800001575 44576001764 55720002205 58652633900 79600003150 111440004410 159200006300 222880008820 278600011025 557200022050 1114400044100